Question

Sachin wants to create two rectangular enclosures in his backyard with fencing for his pet rabbit and dog.

He wants the two enclosures to have equal areas and to share one common side. He has 30 m of fencing
to use and wants to maximize the total area of both fenced in enclosures. Round your final answer to 2
decimal places, where necessary. Determine the dimensions of one rectangular enclosure.

Answer 1

perimeter of rectangular enclosures =30m

2(l+b)=30m

l+b=30/2

l=15-b..........1

now

since it has equal area their l and breadth too are equal

new

perimeter =15/2=7.5m

the dimensions of one rectangular enclosure is 7.5m.